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    Multilayer diffractive optical elements (MFDOEs) overcome chromatic variations by using two materials with specific refractive index differences. This innovation enables highly efficient achromatic performance across multiple diffraction orders.

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    Area of Science:

    • Optics and Photonics
    • Materials Science

    Background:

    • Single-layer multifocal diffractive optical elements (MFDOEs) suffer from chromatic aberrations due to wavelength-dependent efficiency.
    • These chromatic variations limit the performance of MFDOEs in applications requiring color fidelity.

    Purpose of the Study:

    • To develop multilayer MFDOEs capable of achromatizing efficiency across multiple diffraction orders.
    • To investigate material selection criteria for achieving constant refractive index contrast over a specific wavelength range.

    Main Methods:

    • Design of multilayer MFDOEs using two materials with distinct dispersion characteristics.
    • Selection of materials (K-SSK3 glass and PS polymer) based on wavelength-dependent refractive index difference (Δn(λ)).
    • Evaluation of achromatization using mean absolute error (MAE) and root mean square error (RMSE).

    Main Results:

    • Demonstrated optimal achromatic efficiency for diffraction orders m=0, 1, and 2.
    • Achieved simultaneous achromatization with efficiency distribution of 50% in m=1 and 25% in m=0, 2.
    • Confirmed efficiency across the 0.5 to 0.8 µm wavelength range.

    Conclusions:

    • Multilayer MFDOEs effectively eliminate chromatic variations in efficiency.
    • The proposed design advances the development of highly efficient and achromatic optical elements.
    • This work provides a pathway for next-generation optical systems with improved color performance.